GCD of 849, 798, 666, 489 Calculator

Given Input numbers are 849, 798, 666, 489

In the factoring method, we have to find the divisors of all numbers

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (849, 798, 666, 489) = 3.

Given numbers are 849, 798, 666, 489

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 666 are 2 x 3 x 3 x 37

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 849, 798, 666, 489 is 3.

Given numbers are 849, 798, 666, 489

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(849, 798) = 225834

GCD(849, 798) = ( 849 x 798 ) / 225834

= 849 / 798

= 849

Step2:

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

= 3 / 666

= 3

Step3:

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

= 3 / 489

= 3

So, Greatest Common Divisor of 849, 798, 666, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 529, 616, 765
• GCD of 544, 662, 481, 963
• GCD of 975, 777, 482, 309
• GCD of 704, 142, 629, 910
• GCD of 425, 292, 251, 694

Given numbers are 849, 798, 666, 489
The greatest common divisor of numbers 849, 798, 666, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 798, 666, 489 is 3.

1. What is the GCD of 849, 798, 666, 489?

GCD of given numbers 849, 798, 666, 489 is 3

2. How to calculate the greatest common divisor of 849, 798, 666, 489?

We can find the highest common divisor of 849, 798, 666, 489 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 849, 798, 666, 489 i.e 3.

3. How can I use the GCD of 849, 798, 666, 489Calculator?

Out the numbers 849, 798, 666, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.